A mathematical model is constructed for the dynamics of water temperature and dissolved-oxygen concentration in the convective mixing of the upper layer of a reservoir. Satisfactory agreement is obtained between the results of the calculation and experimental data. The validity of the theoretical formula for the turbulent transfer coefficient with convection for Grashof numbers of around $10^9$ is verified. The model may be used to predict the water quality of fresh-water reservoirs in the period of autumnal cooling.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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